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Finding the Third Proportional to 50,532.50 and 78,462.75

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Solution

The third proportional to 50,532.50 and 78,462.75 is: 121,830.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,532.50 : 78,462.75 = 78,462.75 : x
  2. Step 2: Convert to fraction form
    50,532.50/78,462.75 = 78,462.75/x
  3. Step 3: Cross multiply
    50,532.50x = 78,462.75 × 78,462.75
  4. Step 4: Simplify right side
    50,532.50x = 6,156,403,137.56
  5. Step 5: Solve for x
    x = 6,156,403,137.56/50,532.50
  6. Step 6: Final answer
    x = 121,830.57

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.